λ
Prime Ledger

9,247,908

22 × 3 × 19 × 47 × 863
Abundant Even Composite

9,247,908 has the prime decomposition 2^2 × 3 × 19 × 47 × 863. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 47 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,224,320
Proper Divisor Sum 13,976,412
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9247907 ← → #9247913

Radix Representation

Decimal 9247908
Binary 100011010001110010100100 (24 bits)
Octal 0o43216244
Hexadecimal 0x8D1CA4

Divisor Catalog (48)

1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 863 893 1,726 1,786 2,589 2,679 3,452 3,572 5,178 5,358 10,356 10,716 16,397 32,794 40,561 49,191 65,588 81,122 98,382 121,683 162,244 196,764 243,366 486,732 770,659 1,541,318 2,311,977 3,082,636 4,623,954 9,247,908

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,247,908 4,623,954 2,311,977 6,935,932 3,467,966 1,733,983 5,201,950 2,600,975 7,802,926 3,901,463 11,704,390 5,852,195 17,556,586 8,778,293 26,334,880 13,167,440 6,583,720 3,291,860 1,645,930 822,965 2,468,896 1,234,448 617,224 308,612 154,306 77,153 231,460 115,730 57,865 173,596 86,798 43,399 130,198 65,099 195,298 97,649 292,948 146,474 73,237 219,712 109,856 54,928 27,464 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630

More profiles

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